Eur. Phys. J. Plus (2014) 129: 107
https://doi.org/10.1140/epjp/i2014-14107-2

Regular Article

Nonlinear peristaltic flow of a Carreau fluid in the presence of Hall current and convective effect

¹ Department of Mathematics, Quaid-I-Azam University 45320, 44000, Islamabad, Pakistan
² Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, 21589, Jeddah, Saudi Arabia

^* e-mail: fmgpak@gmail.com

Received: 11 December 2013
Revised: 9 April 2014
Accepted: 11 April 2014
Published online: 3 June 2014

Abstract

Influence of Hall current on the peristaltic transport of an incompressible Carreau fluid in a channel is explored. The mathematical analysis is performed in the presence of convective conditions. A stream function formulation is adopted in the mathematical modelling. Long-wavelength and low-Reynolds-number approximations are utilized. The analysis for stream function, temperature, pressure gradient and pressure rise is performed for small Weissenberg number. Detailed analysis via plots is performed for various emerging parameters.